Approximating the finite Hilbert transform via an Ostrowski type inequality for functions of bounded variation.
Approximation of the Stieltjes integral and applications in numerical integration
Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds on the approximation error are provided. Applications to the Fourier Sine and Cosine transforms on finite intervals are mentioned as well.
Approximation of by .
Approximative Funktionalgleichungen und Mittelwertsätze für Dirichletreihen, die Spitzenformen assoziiert sind.
Asymptotic behavior for the best lower bound of Jensen's functional